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cs.LG2025
Layer Separation Deep Learning Model with Auxiliary Variables for Partial Differential Equations
Yaru Liu, Yiqi Gu
In this paper, we propose a new optimization framework, the layer separation (LySep) model, to improve the deep learning-based methods in solving partial differential equations. Du…
cs.LG2025
Deep Learning Optimization Using Self-Adaptive Weighted Auxiliary Variables
Yaru Liu, Yiqi Gu, Michael K. Ng
In this paper, we develop a new optimization framework for the least squares learning problem via fully connected neural networks or physics-informed neural networks. The gradient…